Mechanism Another of the doohickeys analyzed by the Enthusiast Club is the crank-slider shown. The crank is turning at a constant @AB= 20 rpm counterclockwise. The dimensions are LAB = 200 mm LBD 150 mm and LBC = = 230 mm.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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### Problem 2

Another of the doohickeys analyzed by the [Redacted] Mechanism Enthusiast Club is the crank-slider shown. The crank is turning at a constant \(\omega_{AB} = 20 \, \text{rpm}\) counterclockwise. The dimensions are \(L_{AB} = 200 \, \text{mm}\), \(L_{BD} = 150 \, \text{mm}\) and \(L_{BC} = 230 \, \text{mm}\).

Using the methods shown in class that require diagrams, determine the acceleration of points A and D, providing magnitude and direction.

#### Diagram Explanation

The given diagram illustrates a crank-slider mechanism with the following components and dimensions:
- **Crank (AB):** This rotates about point A and is shown in a vertical orientation. The length \( L_{AB} \) is 200 mm. The angular velocity \( \omega_{AB} \) is 20 rpm in the counterclockwise direction.
- **Link (BD):** This links the slider at point C and the mechanism at point D. The length \( L_{BD} \) is 150 mm.
- **Slider (BC):** The slider is connected to the ground at point C and touches point B on the link. The length \( L_{BC} \) is 230 mm.

The calculations involve determining the accelerations of points A and D using kinematic equations and graphical methods taught in class. Make sure to provide both the magnitude and direction for these accelerations.
Transcribed Image Text:### Problem 2 Another of the doohickeys analyzed by the [Redacted] Mechanism Enthusiast Club is the crank-slider shown. The crank is turning at a constant \(\omega_{AB} = 20 \, \text{rpm}\) counterclockwise. The dimensions are \(L_{AB} = 200 \, \text{mm}\), \(L_{BD} = 150 \, \text{mm}\) and \(L_{BC} = 230 \, \text{mm}\). Using the methods shown in class that require diagrams, determine the acceleration of points A and D, providing magnitude and direction. #### Diagram Explanation The given diagram illustrates a crank-slider mechanism with the following components and dimensions: - **Crank (AB):** This rotates about point A and is shown in a vertical orientation. The length \( L_{AB} \) is 200 mm. The angular velocity \( \omega_{AB} \) is 20 rpm in the counterclockwise direction. - **Link (BD):** This links the slider at point C and the mechanism at point D. The length \( L_{BD} \) is 150 mm. - **Slider (BC):** The slider is connected to the ground at point C and touches point B on the link. The length \( L_{BC} \) is 230 mm. The calculations involve determining the accelerations of points A and D using kinematic equations and graphical methods taught in class. Make sure to provide both the magnitude and direction for these accelerations.
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